Solve the equation for x. Make sure to show work. 12+3x=6x−4(x−5)
To solve the equation 12 + 3x = 6x - 4(x - 5), we need to simplify both sides of the equation and isolate the variable x.
First, we will distribute the -4 to the terms inside the brackets:
12 + 3x = 6x - 4x + 20
Next, we combine like terms:
12 + 3x = 2x + 20
To isolate the variable x, we need to get rid of the constant terms on the right side of the equation. We can do this by subtracting 2x from both sides:
12 +3x - 2x = 2x + 20 - 2x
12 + x = 20
Now, we can isolate x by subtracting 12 from both sides:
12 + x - 12 = 20 - 12
x = 8
Therefore, the solution to the equation 12 + 3x = 6x - 4(x - 5) is x = 8.
To solve the equation 12 + 3x = 6x - 4(x - 5) for x, we will follow these steps:
Step 1: Distribute the -4 across the terms in the parentheses:
12 + 3x = 6x - 4x + 20
Simplifying the equation, we have:
12 + 3x = 2x + 20
Step 2: Combine like terms.
To do this, we will subtract 2x from both sides of the equation:
12 + 3x - 2x = 2x - 2x + 20
Simplifying the equation further, we have:
12 + x = 20
Step 3: Isolate the variable term.
To do this, we will subtract 12 from both sides of the equation:
12 + x - 12 = 20 - 12
Simplifying the equation once more, we have:
x = 8
Therefore, the solution to the equation 12 + 3x = 6x - 4(x - 5) is x = 8.
To solve the equation 12 + 3x = 6x - 4(x - 5) for x, we need to simplify and rearrange the equation step by step. Here's how we can do it:
1. Distribute the -4 through the parentheses:
12 + 3x = 6x - 4x + 20
2. Combine like terms on the right side:
12 + 3x = 2x + 20
3. Move all terms involving x to one side by subtracting 2x from both sides:
12 + 3x - 2x = 2x - 2x + 20
12 + x = 20
4. Finally, isolate x by subtracting 12 from both sides:
12 + x - 12 = 20 - 12
x = 8
So, the solution to the equation 12 + 3x = 6x - 4(x - 5) is x = 8.